OOIR: Observatory of International Research

Papers

(The median citation count of Advanced Nonlinear Studies is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems	27
Non-Degeneracy of Peak Solutions to the Schrödinger–Newton System	27
Existence of Ground States of Fractional Schrödinger Equations	22
Periodic Solutions to Klein–Gordon Systems with Linear Couplings	21
Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument	14
Well-posedness of damped Kirchhoff-type wave equation with fractional Laplacian	13
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝⁿ	10
Matrix weights and a maximal function with exponent 3/2	7
Frontmatter	7
Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data	6
Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems	6
An introduction to the distorted Fourier transform	4
The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term	4
Connecting and Closed Geodesics of a Kropina Metric	4
Frontmatter	2
Nonlocal Differential Equations with Convolution Coefficients and Applications to Fractional Calculus	2
Global Perturbation of Nonlinear Eigenvalues	2
Convergence rates of eigenvalue problems in perforated domains: the case of small volume	2
The Neumann function and the L ^p Neumann problem in chord-arc domains	2
Hopf’s lemma for parabolic equations involving a generalized tempered fractional p-Laplacian	1
Multiplicity of normalized solutions for nonlinear Choquard equations	1
Existence and Uniqueness of Multi-Bump Solutions for Nonlinear Schrödinger–Poisson Systems	0
Existence and Convergence of Solutions to Fractional Pure Critical Exponent Problems	0
Normalized solutions for nonlinear Schrödinger systems with critical exponents	0
Frontmatter	0

Subharmonic Solutions of Indefinite Hamiltonian Systems via Rotation Numbers	0
Soliton resolution and channels of energy	0
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity	0
Sobolev extension in a simple case	0
Multiplicity and Concentration of Solutions for Kirchhoff Equations with Magnetic Field	0
Asymptotic behaviors of least energy solutions for weakly coupled nonlinear Schrödinger systems	0
Solutions to the coupled Schrödinger systems with steep potential well and critical exponent	0
Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells	0
Current perspectives on the Halo Conjecture	0
Infinitely Many Solutions for the Nonlinear Schrödinger–Poisson System with Broken Symmetry	0
Liouville Theorems for Fractional Parabolic Equations	0
Mass Concentration and Asymptotic Uniqueness of Ground State for 3-Component BEC with External Potential in ℝ²	0
Blow-Up Phenomena and Asymptotic Profiles Passing from H ¹-Critical to Super-Critical Quasilinear Schrödinger Equations	0
Hearing exotic smooth structures	0
An example related to Whitney’s extension problem for L ^2,p (R²) when 1 < p < 2	0
Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations	0
Well-Posedness and Uniform Decay Rates for a Nonlinear Damped Schrödinger-Type Equation	0
Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences	0
Anisotropic ????-Laplacian Evolution of Fast Diffusion Type	0
Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates	0
Singular Finsler Double Phase Problems with Nonlinear Boundary Condition	0
Solitons to the Willmore flow	0